8. Consider the function: f(x)=e*.

a) Find the curvature function, x(x).

(5 points)

b) Determine the point on f at which the graph has maximum curvature.

(provide exact coordinates)

c) What is the value of the maximum curvature?

(provide an exact value)

point of maximum

curvature

2.65

2.4

2.23

2-3

1.8

1.6

1.2

14

0.83

0.6

0.4

-1 -0.8 -0.6 -0.4 -0.2

0

f(x) = ex

0.2 0.4 0.6 0.8 1